The graph of y= - square root of x is shifted 2 units up and 5 units left. Which equation represents the new graph

Respuesta :

Answer:

y = -√(x + 5) + 2.

Step-by-step explanation:

y = -√x

Shifting this 2 units up produces the equation:

y = -√x + 2

Moving it 5 units to the left gives:

y = -√(x + 5) + 2.

The equation of graph of  [tex]y=-\sqrt{x}[/tex] is shifted 2 units up and 5 units left.

[tex]y=-\sqrt{x+5}+2[/tex]

Given :

The graph of  [tex]y=-\sqrt{x}[/tex] is shifted 2 units up and 5 units left.

The parent equation of the graph is [tex]y=-\sqrt{x}[/tex]

The graph is shifted 2 units up

When any graph is shifted up  then we add the units at the end

Graph shifted 'a' units up then f(x) becomes f(x) +a

when a graph is shifted 'a' units left , then we add the units with 'x'

Graph shifted 'a' units left then f(x) becomes f(x+a)

The graph of  [tex]y=-\sqrt{x}[/tex] is shifted 2 units up and 5 units left.

Add 5 units with 'x' and add 2 units at the end

[tex]y=-\sqrt{x+5}+2[/tex]

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